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Simplifying -8(0.1x + 0.2) + -3.7 = -0.5 Reorder the terms: -8(0.2 + 0.1x) + -3.7 = -0.5 (0.2 * -8 + 0.1x * -8) + -3.7 = -0.5 (-1.6 + -0.8x) + -3.7 = -0.5 Reorder the terms: -1.6 + -3.7 + -0.8x = -0.5 Combine like terms: -1.6 + -3.7 = -5.3 -5.3 + -0.8x = -0.5 Solving -5.3 + -0.8x = -0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.3' to each side of the equation. -5.3 + 5.3 + -0.8x = -0.5 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + -0.8x = -0.5 + 5.3 -0.8x = -0.5 + 5.3 Combine like terms: -0.5 + 5.3 = 4.8 -0.8x = 4.8 Divide each side by '-0.8'. x = -6 Simplifying x = -6
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